Engineering magnetic polariton system with distributed coefficients: Applications to soliton management

Kuetche, Victor K.; Nguepjouo, Francis T.; Kofané, Timoléon Crépin

doi:10.1016/j.chaos.2014.05.004

Cited by 15 publications

(2 citation statements)

References 53 publications

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“…With the different expressions of these arbitrary functions, some quite rich of higher-dimensional excitations would be generated while enriching the properties of the higher-dimensional ferrites [68]. In this perspective, we would follow other powerful methods of searching for the extension of the lower-dimensional systems to higher-dimensional ones as developed in the literature (see [69][70][71][72] and references therein).…”

Section: Discussionmentioning

confidence: 99%

Polarized waveguide excitations in microwave ferrites: The singularity structure analysis

Kamdem¹,

Lemoula²,

Kuetche³

et al. 2021

Phys. Scr.

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In this work, we delve into the structure of some typical microwave ferrites while investigating the propagation of nonlinear circularly polarized waveguide excitations. In the standpoint, we consider a ferromagnetic slab insulator of 0.5 mm thickness submitted to an external transverse magnetic field.Combining the Landau-Lifshitz-Gilbert formalism of evolution of the magnetization to Maxwell equations, we survey the interaction process of an electromagnetic wave perturbation with the slab. As a result, using the perturbative scaling approach suitable to high-frequency excitations, we derive some new evolution system describing the propagation of circularly polarized waves in the medium. Pursuing further with the analysis, we unwrap the integrability properties of the new system using the singularity structure method where sufficient arbitrary functions are generated. Taking advantage of such properties, we construct a rich variety of nonlinear excitations, solutions to the ferrite dynamics. Additionally, we address some physical implications of the results obtained previously.

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Section: Discussionmentioning

confidence: 99%

Polarized waveguide excitations in microwave ferrites: The singularity structure analysis

Kamdem¹,

Lemoula²,

Kuetche³

et al. 2021

Phys. Scr.

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“…In this paper, we focus on the (1+1)-dimensional damped Kraenkel-Manna-Merle (KMM) system [32,33] A xt = −BB x ,…”

Section: Introductionmentioning

confidence: 99%

Rogue wave, interaction solutions to the KMM system

Jin

Lin

2020

Journal of Magnetism and Magnetic Materials

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In this paper, the consistent tanh expansion (CTE) method and the truncated Painlevé analysis are applied to the Kraenkel-Manna-Merle (KMM) system, which describes propagation of short wave in ferromagnets. Two series of analytic solutions of the original KMM system (free of damping effect) are obtained via the CTE method. The interaction solutions contain an arbitrary function, which provides a wide variety of choices to acquire new propagation structures. Particularly, the breather soliton, periodic oscillation soliton and multipole instanton are obtained. Furthermore, we obtain some exact solutions of the damped-KMM equation at the first time. On the other hand, a coupled equation containing quadri-linear form and trilinear form for the original KMM system is obtained by the truncated Painlevé analysis, and the rogue wave solution and interaction solutions between rogue wave and multi-soliton for the KMM system are discussed.

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Dynamics of diverse wave propagation to integrable Kraenkel–Manna–Merle system under zero damping effect in ferrites materials

et al. 2023

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Engineering magnetic polariton system with distributed coefficients: Applications to soliton management

Cited by 15 publications

References 53 publications

Polarized waveguide excitations in microwave ferrites: The singularity structure analysis

Polarized waveguide excitations in microwave ferrites: The singularity structure analysis

Rogue wave, interaction solutions to the KMM system

Dynamics of diverse wave propagation to integrable Kraenkel–Manna–Merle system under zero damping effect in ferrites materials

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